Yes, this is known as a V/V, which can be an open delta or open wye.
Open delta is usually 120/208 with a stinger leg. The secondary neutral is grounded and directly connected to the supply MGN, for through fault containment.
Open wye is usually 480 secondary phase volts. The center point(neutral) is earthed. The two ungrounded phases will be 277 volts to ground, the center connection will be zero to ground. This system must have interconnection of the MGN and secondary neutral at the transformers, for through fault containment.
The open delta and open wye systems are not in use much now days. They were economical to install, but limited for specific applications.